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Finding the Fourth Proportional to 17,031.68, 25,549.92 and 7,164.80

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Solution

The fourth proportional to 17,031.68, 25,549.92 and 7,164.80 is: 10,748.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,031.68 : 25,549.92 = 7,164.80 : x
  2. Step 2: Convert to fraction form
    17,031.68/25,549.92 = 7,164.80/x
  3. Step 3: Cross multiply
    17,031.68x = 25,549.92 × 7,164.80
  4. Step 4: Simplify right side
    17,031.68x = 183,060,066.82
  5. Step 5: Solve for x
    x = 183,060,066.82/17,031.68
  6. Step 6: Final answer
    x = 10,748.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.